9780521828932: Introduction to Banach Algebras, Operators, and Harmonic Analysis
Couverture rigide
ISBN 10 : 0521828937 ISBN 13 : 9780521828932
Editeur : Cambridge University Press, 2003

Synopsis

This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent and accessible introduction to current research topics. The first chapter by Professor Dales introduces the general theory of Banach algebras, which serves as a background to the remaining material. Dr Willis then studies a centrally important Banach algebra, the group algebra of a locally compact group. The remaining chapters are devoted to Banach algebras of operators on Banach spaces: Professor Eschmeier gives all the background for the exciting topic of invariant subspaces of operators, and discusses some key open problems; Dr Laursen and Professor Aiena discuss local spectral theory for operators, leading into Fredholm theory.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent and accessible introduction to current research topics. The first chapter by Professor Dales introduces the general theory of Banach algebras, which serves as a background to the remaining material. Dr Willis then studies a centrally important Banach algebra, the group algebra of a locally compact group. The remaining chapters are devoted to Banach algebras of operators on Banach spaces: Professor Eschmeier gives all the background for the exciting topic of invariant subspaces of operators, and discusses some key open problems; Dr Laursen and Professor Aiena discuss local spectral theory for operators, leading into Fredholm theory.

Revue de presse

'In view of the book's genesis, it is clear that it is quite heterogeneous ... This heterogeneity, however, turns out to be one of the volume's strengths: it presents five concise introductions to important parts of functional analysis, each of which conveys its author's outlook on the field ... It will certainly be quite useful for new graduate students as well as for non-specialists in the areas covered who want to get a quick overview before delving into dautingly thick treatises as the one by [H. G. Dales ['Banach algebras and automatic continuity', Lond. Math. Soc. Monographs. New Series 24 (2000; Zbl 981.46043)] (on Banach algebras) or K. B. Laursen and M. M. Neumann ...'. Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2003
Langue
anglais
ISBN 10 
0521828937
ISBN 13 
9780521828932
Reliure
Relié
Numéro d'édition
1
Nombre de pages
336
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France